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Generalized linear phase polynomials—application in filter synthesis
Author(s) -
Jarry P.,
Garault Y.,
Clapeau M.
Publication year - 1976
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490040406
Subject(s) - linear phase , mathematics , bessel function , jacobi polynomials , transfer function , orthogonal polynomials , phase (matter) , attenuation , bessel polynomials , discrete orthogonal polynomials , classical orthogonal polynomials , filter (signal processing) , difference polynomials , amplitude , bessel filter , mathematical analysis , gegenbauer polynomials , wilson polynomials , computer science , physics , optics , engineering , quantum mechanics , computer vision , electrical engineering
In this paper, we give explicit expressions for the study of attenuation and phase characteristics of generalized linear phase polynomials (i.e. Jacobi and generalized Bessel polynomials for transmission line and lumped filters respectively). We present an exact method to find the digital transfer function which exhibits [ n /2] to ( n −1) simultaneous conditions on amplitude and delay.